document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=743450>Question 743450</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A customer wants an aquarium that is exactly twice as long as it is wide and holds 30 gallons of water . Suggest at least two sets of dimensions to the nearest tenth inch that would work for this combination.  Here is some more info...<BR>\n" );
document.write( "Common aquarium holds 10 gallons.  I know volume of a right rectangular tank is found by multiplying the length of the tank times the width times the height, or V=lwh. I know 231 cubic inches are equal to 1 gallon. <BR>\n" );
document.write( " I am TERRIBLE at word problems especially this one. Can you please help me?<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #452910 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=452910\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The problem states:\r<BR>\n" );
document.write( "\n" );
document.write( "A customer wants an aquarium that is exactly twice as long as it is wide and holds 30 gallons of water . Suggest at least two sets of dimensions to the nearest tenth inch that would work for this combination. \r<BR>\n" );
document.write( "\n" );
document.write( "we are given:<BR>\n" );
document.write( "length(l) = 2*width(w)\r<BR>\n" );
document.write( "\n" );
document.write( "we can write the formula for volume(v), note that volume is in cubic feet\r<BR>\n" );
document.write( "\n" );
document.write( "v = 2w * w * depth(d)\r<BR>\n" );
document.write( "\n" );
document.write( "now we know that the volume * 7.48 (number of gallons in a cubic foot) = 30 gallons<BR>\n" );
document.write( "so the volume in cubic feet = 30 / 7.48 = 4\r<BR>\n" );
document.write( "\n" );
document.write( "now we have\r<BR>\n" );
document.write( "\n" );
document.write( "4 = 2w^2*d\r<BR>\n" );
document.write( "\n" );
document.write( "convert the 4 cubic feet to cubic inches\r<BR>\n" );
document.write( "\n" );
document.write( "4 * 1728 = 6912 cubic inches\r<BR>\n" );
document.write( "\n" );
document.write( "and\r<BR>\n" );
document.write( "\n" );
document.write( "6912 = 2w^2*d<BR>\n" );
document.write( "3456 = w^2*d\r<BR>\n" );
document.write( "\n" );
document.write( "w = (sqrt (3456/d) = 58.8 / sqrt (d)\r<BR>\n" );
document.write( "\n" );
document.write( "if d = 16 inches, then w = 14.7 and the length is 29.4 inches<BR>\n" );
document.write( "if d = 36 inches, then w = 9.8 and the length is 19.6 inches\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );